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Finding the Fourth Proportional to 1,330.48, 1,996.13 and 509.14

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Solution

The fourth proportional to 1,330.48, 1,996.13 and 509.14 is: 763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.48 : 1,996.13 = 509.14 : x
  2. Step 2: Convert to fraction form
    1,330.48/1,996.13 = 509.14/x
  3. Step 3: Cross multiply
    1,330.48x = 1,996.13 × 509.14
  4. Step 4: Simplify right side
    1,330.48x = 1,016,307.08
  5. Step 5: Solve for x
    x = 1,016,307.08/1,330.48
  6. Step 6: Final answer
    x = 763.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.